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A cannon is fixed with a smooth massive ...

A cannon is fixed with a smooth massive trolley car at an angle `theta` as shown in the figure.The trolley car slides from rest down the inclined plane of angle of inclination `beta`.
The muzzle velocity of the shell fired at `t=t_(0)` from the cannon is `u`,such that the shell moves perpendicular to the inclined just after the firing.
The time of flight of the shell is:

A

`(u cos theta)/(g sin beta)`

B

`(2u sin theta)/(g cos beta)`

C

`(u)/(g)`

D

`(u sin theta)/(g sin beta)`

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Verified by Experts

The correct Answer is:
b
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